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31044465000 = 23375417167
BaseRepresentation
bin11100111010011001…
…001111000101101000
32222010112122020000000
4130322121033011220
51002034340340000
622132302343000
72146211412213
oct347231170550
988115566000
1031044465000
111219087804a
12602488aa60
132c098a0223
14170704c77a
15c1a690000
hex73a64f168

31044465000 has 640 divisors, whose sum is σ = 116197804800. Its totient is φ = 7744896000.

The previous prime is 31044464953. The next prime is 31044465043. The reversal of 31044465000 is 56444013.

31044465000 is a `hidden beast` number, since 3 + 1 + 0 + 4 + 4 + 4 + 650 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 185894917 + ... + 185895083.

It is an arithmetic number, because the mean of its divisors is an integer number (181559070).

Almost surely, 231044465000 is an apocalyptic number.

31044465000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31044465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58098902400).

31044465000 is an abundant number, since it is smaller than the sum of its proper divisors (85153339800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31044465000 is an equidigital number, since it uses as much as digits as its factorization.

31044465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 31044465000 in words is "thirty-one billion, forty-four million, four hundred sixty-five thousand".